ID5059 Knowledge Discovery and Datamining - Assignment 1¶

Import Packages¶

In [3]:
import sys
!{sys.executable} -m pip install numpy pandas matplotlib scikit-learn | grep -v 'already satisfied'

import pandas as pd
import numpy as np
import seaborn as sns
import matplotlib.pyplot as plt

Read in Data¶

In [4]:
# Read the dataset
# I used only the small dataset because the computing time for the selected ML model including all chosen features took about 45 minutes to compute. 
# When using the test set in the end, the computing time was significantly lower - so I guess that the computing time is exponentially increasing the larger the data set is.
flights = pd.read_csv("Combined_Flights_small.csv")

# Clear the maximum number of columns to be displayed, so that all will be visible.
pd.set_option('display.max_columns', None)

# Take a first look at the data
flights.head()
Out[4]:
Unnamed: 0 FlightDate Airline Origin Dest Cancelled Diverted CRSDepTime CRSElapsedTime Distance Year Quarter Month DayofMonth DayOfWeek Marketing_Airline_Network Operated_or_Branded_Code_Share_Partners DOT_ID_Marketing_Airline IATA_Code_Marketing_Airline Flight_Number_Marketing_Airline Operating_Airline DOT_ID_Operating_Airline IATA_Code_Operating_Airline Tail_Number Flight_Number_Operating_Airline OriginAirportID OriginAirportSeqID OriginCityMarketID OriginCityName OriginState OriginStateFips OriginStateName OriginWac DestAirportID DestAirportSeqID DestCityMarketID DestCityName DestState DestStateFips DestStateName DestWac DepTimeBlk CRSArrTime ArrDel15 ArrTimeBlk DistanceGroup Disruption
0 1 2018-09-07 SkyWest Airlines Inc. SLC LAX 0 0 1953 119 590 2018 3 9 7 5 UA UA_CODESHARE 19977 UA 5563 OO 20304 OO N208SY 5563 14869 1486903 34614 Salt Lake City, UT UT 49 Utah 87 12892 1289208 32575 Los Angeles, CA CA 6 California 91 1900-1959 2052 0.0 2000-2059 3 0
1 2 2018-06-27 Air Wisconsin Airlines Corp ORD ILM 0 0 1355 136 760 2018 2 6 27 3 UA UA_CODESHARE 19977 UA 4835 ZW 20046 ZW N467AW 4835 13930 1393006 30977 Chicago, IL IL 17 Illinois 41 12323 1232305 32323 Wilmington, NC NC 37 North Carolina 36 1300-1359 1711 1.0 1700-1759 4 1
2 3 2018-03-14 Southwest Airlines Co. MCO SJU 0 0 1705 160 1189 2018 1 3 14 3 WN WN 19393 WN 1544 WN 19393 WN N7822A 1544 13204 1320402 31454 Orlando, FL FL 12 Florida 33 14843 1484306 34819 San Juan, PR PR 72 Puerto Rico 3 1700-1759 1945 0.0 1900-1959 5 0
3 4 2018-02-18 JetBlue Airways JFK LAX 0 0 1046 384 2475 2018 1 2 18 7 B6 B6 20409 B6 423 B6 20409 B6 N967JB 423 12478 1247805 31703 New York, NY NY 36 New York 22 12892 1289208 32575 Los Angeles, CA CA 6 California 91 1000-1059 1410 0.0 1400-1459 10 0
4 5 2018-10-26 Endeavor Air Inc. ROC JFK 0 0 1850 98 264 2018 4 10 26 5 DL DL_CODESHARE 19790 DL 5510 9E 20363 9E N293PQ 5510 14576 1457606 34576 Rochester, NY NY 36 New York 22 12478 1247805 31703 New York, NY NY 36 New York 22 1800-1859 2028 0.0 2000-2059 2 0
In [5]:
# How many rows and columns/features does the dataset have?
flights.shape

# 29,191 rows (flighst) and 47 columns/features (using the small dataset)
Out[5]:
(29191, 47)

Split into Test and Training Sets¶

In [6]:
# stratified sampling

from sklearn.model_selection import StratifiedShuffleSplit

# define how to split the data
shuffled_data = StratifiedShuffleSplit(
        n_splits=1,
        test_size=0.2,
        random_state=5059 # set seed to maintain split
)

# create indexes for train and test sets
# we want a stratified sample based on year, month and disruption 
# (disruption is important because it will be our label; year and month is important because we know that there are differences due to COVID19)
[(train_index, test_index)] = shuffled_data.split(
    flights,
    flights[["Year", "Month", "Disruption"]]
)

# create train and test sets
flights_train = flights.loc[train_index]
flights_test = flights.loc[test_index]

Data Exploration¶

In [7]:
# print info to detect null values and inspect data types
flights_train.info()
<class 'pandas.core.frame.DataFrame'>
Index: 23352 entries, 3664 to 993
Data columns (total 47 columns):
 #   Column                                   Non-Null Count  Dtype  
---  ------                                   --------------  -----  
 0   Unnamed: 0                               23352 non-null  int64  
 1   FlightDate                               23352 non-null  object 
 2   Airline                                  23352 non-null  object 
 3   Origin                                   23352 non-null  object 
 4   Dest                                     23352 non-null  object 
 5   Cancelled                                23352 non-null  int64  
 6   Diverted                                 23352 non-null  int64  
 7   CRSDepTime                               23352 non-null  int64  
 8   CRSElapsedTime                           23352 non-null  int64  
 9   Distance                                 23352 non-null  int64  
 10  Year                                     23352 non-null  int64  
 11  Quarter                                  23352 non-null  int64  
 12  Month                                    23352 non-null  int64  
 13  DayofMonth                               23352 non-null  int64  
 14  DayOfWeek                                23352 non-null  int64  
 15  Marketing_Airline_Network                23352 non-null  object 
 16  Operated_or_Branded_Code_Share_Partners  23352 non-null  object 
 17  DOT_ID_Marketing_Airline                 23352 non-null  int64  
 18  IATA_Code_Marketing_Airline              23352 non-null  object 
 19  Flight_Number_Marketing_Airline          23352 non-null  int64  
 20  Operating_Airline                        23352 non-null  object 
 21  DOT_ID_Operating_Airline                 23352 non-null  int64  
 22  IATA_Code_Operating_Airline              23352 non-null  object 
 23  Tail_Number                              23134 non-null  object 
 24  Flight_Number_Operating_Airline          23352 non-null  int64  
 25  OriginAirportID                          23352 non-null  int64  
 26  OriginAirportSeqID                       23352 non-null  int64  
 27  OriginCityMarketID                       23352 non-null  int64  
 28  OriginCityName                           23352 non-null  object 
 29  OriginState                              23352 non-null  object 
 30  OriginStateFips                          23352 non-null  int64  
 31  OriginStateName                          23352 non-null  object 
 32  OriginWac                                23352 non-null  int64  
 33  DestAirportID                            23352 non-null  int64  
 34  DestAirportSeqID                         23352 non-null  int64  
 35  DestCityMarketID                         23352 non-null  int64  
 36  DestCityName                             23352 non-null  object 
 37  DestState                                23352 non-null  object 
 38  DestStateFips                            23352 non-null  int64  
 39  DestStateName                            23352 non-null  object 
 40  DestWac                                  23352 non-null  int64  
 41  DepTimeBlk                               23352 non-null  object 
 42  CRSArrTime                               23352 non-null  int64  
 43  ArrDel15                                 22680 non-null  float64
 44  ArrTimeBlk                               23352 non-null  object 
 45  DistanceGroup                            23352 non-null  int64  
 46  Disruption                               23352 non-null  int64  
dtypes: float64(1), int64(28), object(18)
memory usage: 8.6+ MB

4.1 Missing Values¶

  • Except for Tail_Number and ArrDel15, none of the features have null values.

  • Since we will drop ArrDel15 anyway (as we must not use it for prediction), we don't have to care here.

  • Tail number is a unique identifier for every airplane (see https://flyavl.com/article/every-tail-tells-tale#:~:text=A%20tail%20number%20is%20an,an%20airplane%27s%20country%20of%20origin last accessed 23/02/24). I consider other factors, like weather and airport logistics, to have a much higher impact on flight disruptions than an individual airplane (e.g. for technical reasons in the machine). We can drop this feature, so we don't have to care about the missing values here.

-> Overall, no missing data for relevant features.

4.2 Datatypes¶

  • Some features are object-type data which we could convert into a numerical or categorical data type
In [8]:
# inspect how many unique/distinct values there are per feature
flights_train.nunique()
Out[8]:
Unnamed: 0                                 23352
FlightDate                                  1673
Airline                                       28
Origin                                       364
Dest                                         350
Cancelled                                      2
Diverted                                       2
CRSDepTime                                  1154
CRSElapsedTime                               413
Distance                                    1445
Year                                           5
Quarter                                        4
Month                                         12
DayofMonth                                    31
DayOfWeek                                      7
Marketing_Airline_Network                     11
Operated_or_Branded_Code_Share_Partners       16
DOT_ID_Marketing_Airline                      11
IATA_Code_Marketing_Airline                   11
Flight_Number_Marketing_Airline             6079
Operating_Airline                             28
DOT_ID_Operating_Airline                      28
IATA_Code_Operating_Airline                   28
Tail_Number                                 6007
Flight_Number_Operating_Airline             6080
OriginAirportID                              364
OriginAirportSeqID                           390
OriginCityMarketID                           339
OriginCityName                               358
OriginState                                   52
OriginStateFips                               52
OriginStateName                               52
OriginWac                                     52
DestAirportID                                350
DestAirportSeqID                             377
DestCityMarketID                             325
DestCityName                                 344
DestState                                     52
DestStateFips                                 52
DestStateName                                 52
DestWac                                       52
DepTimeBlk                                    19
CRSArrTime                                  1244
ArrDel15                                       2
ArrTimeBlk                                    19
DistanceGroup                                 11
Disruption                                     2
dtype: int64

4.3 Unique Identifiers¶

  • First feature, "Unnamed", is a unique identifier in this dataset. We don't need it so we will drop it.

  • We can also see that there are 6,190 distinct values in Tail_Number, which means that on average, each plane should occur only about 4.7 times in our dataset (under the assumption, that on average, each airplane is used equally often). While it would be interesting to find out, whether or not a flight disruption is connected to an individual airplane, I think that for prediction, this feature might introduce bias or overfitting. In addition to that, there seem to be other factors in air traffic which have a much greater impact on whether a flight is disrupted or not, such as weather and airport logistics. As there are high safety standards in air traffic in general, technical disruptions within an individual machine seem to be rather extraordinary events without a reasonable pattern we can identify in combination with the other features in our dataset.

  • In addition, there are some features with a higher number of unique values, which might add more complexity to the model. To keep it simple in the first place, it would be worth to consider grouping the distinct values of these features more together or instead using features that already are a grouped representation of these values, e.g., DistanceGroup instead of Distance.

  • DepTimeBlk (as well as ArrTimeBlk) have only 19 unique values. Since a day has 24 hours, I would have expected 24 unique values here. However, this makes sense given night flying restrictions in the US (see https://en.wikipedia.org/wiki/Night_aviation_regulations_in_the_United_States#:~:text=Takeoffs%20and%20landings%20required%20to,to%20one%20hour%20before%20sunrise, last accessed 23/02/24).

4.4 Usefulness for the Task¶

  • Unnamed: unique identifier, useless for our prediction
  • Disruption => target attribute: tells us whether or not a flight is disrupted (our label)

Useful for timeline analysis:

  • FlightDate
    • accurate time information, but would make the model quite complex because of the high number of unique values
  • DepTimeBlk
    • which hourly timeslot during the day did a flight depart?
    • maybe disruptions are more frequent during "rush hours"?
  • Year
    • more disruptions during peak of COVID19 pandemic?
  • Quarter
    • may be less interesting because we have month for a more accurate prediction
    • but: may be interesting because it is related to weather; some seasons may in general have more stable weather conditions than others? (however, this also differs across geographical region)
  • Month
    • more disruptions during the busy pre-Christmas season and in the beginning of the New Year?
    • more disruptions due to certain weather conditions in specific months?
  • DayOfMonth
  • DayOfWeek

Useful for connection / airline analysis:

  • Airline
    • some airlines may be better organised than others, leading to reduced disruptions
  • Flight_Number
    • specific flight routes could be more prone to disruptions than others
    • but there are some issues, see further considerations below
  • Origin (origin airport)
    • airport logistics may have a vital impact on disruptions
    • but there are more than 300 different airports in the dataset, adding complexity to the model
  • Dest (destination airport)
  • OriginState
    • more general than origin
  • DestState
  • DistanceGroup (distance category)
    • are there more or less disruptions on long vs. medium vs. long distance flights?

Further considerations:

  • Flight numbers are assigned per airline. They are are unique within an airline for a specific connection per day. Therefore, the same flight number can be assigned for different connections by several different airlines. We can see this by opening the data set in MS Excel and filter Flight_Number_Operating_Airline by "3". We see that JetBlue Airlines, Hawaiian Airlines, Alaska Airlines, American Airlines, etc. all have different connections with flight number "3". For every airline, however, the connection for flight number "3" is always the same, e.g. for Hawaiian Airlines, this is the connection Los Angeles - Honolulu. Therefore, if we want to uniquely identify a flight by its connection and the specific airline, we would have to merge the flight number an airline.

Numerical Features¶

In [9]:
# Have a quick look at the data
%matplotlib inline
flights_train.hist(bins=70, figsize=(20,15))
plt.show()

Result/Considerations:

  • Year: Overall relatively evenly distributed, peak in 2019. We are likely to see the reduction from 2019 to 2020 due to the COVID19 pandemic.
  • Month: Overall relatively evenly distributed, peak month in January, March, July.
  • DayofMonth: Overall relatively evenly distributed. 31st only half of the average (because the last day of a month only occurs in half of the month per year).
  • DistanceGroup: Tail heavy: Peak in category 2, then long tail. We could try to create more balanced groups like short, medium, long distance. We could also consider dropping this feature and instead using the Distance feature for a more accurate splitting.

5.2 Categorical Features¶

In [10]:
# Airline
# Categories not balanced - some airlines operated more flights than others.
# We could group the airlines into large, medium, and small airline, by the number of flights operated.

# Count the number of flights per airline
flight_count_airline = flights_train.groupby(["Airline"]).size()

# Plot bar chart
flight_count_airline.plot(kind="bar", figsize=(20,5))
plt.title("Count of Flights per Airline")
plt.show()
In [11]:
# OriginState
# Origin not balanced - some origin states are more often frequented than others
flights_train["OriginState"].hist(bins=120, figsize=(20,5))

plt.title("Count of flights per Origin State")
Out[11]:
Text(0.5, 1.0, 'Count of flights per Origin State')
In [12]:
# DestState
# as for OriginState: categories not balanced, some destinations are more frequent than others
flights_train["DestState"].hist(bins=120, figsize=(20,5))

plt.title("Count of flights per Destination State")
Out[12]:
Text(0.5, 1.0, 'Count of flights per Destination State')
In [13]:
# Categories are not very balanced; 
# 19 distinct categories. We could consider splitting time slots into before noon and after noon to reduce dimensions.
flights_train["DepTimeBlk"].hist(bins=60, figsize=(20,5));
plt.xticks(rotation=45)
plt.title("Count of flights per Departure Time Block")
Out[13]:
Text(0.5, 1.0, 'Count of flights per Departure Time Block')

Order¶

In [14]:
# There is no obvious pattern compared to the order of the data for Disruption
sns.scatterplot(x=list(range(len(flights_train))), y=flights_train["Disruption"])
Out[14]:
<Axes: ylabel='Disruption'>
In [15]:
# There is no obvious pattern compared to the order of the data for Year
# checked also for Month, DayofMonth
sns.scatterplot(y=list(range(len(flights_train))), x=flights_train["Year"])
Out[15]:
<Axes: xlabel='Year'>

Relationship with Response¶

In [16]:
# Distance
sns.scatterplot(x=flights_train["Distance"], y=flights_train["Disruption"])

# flights between 4000 and 5000 miles distance seem not to be disrupted
Out[16]:
<Axes: xlabel='Distance', ylabel='Disruption'>
In [17]:
# CRSDepTime
sns.scatterplot(x=flights_train["CRSDepTime"], y=flights_train["Disruption"])
Out[17]:
<Axes: xlabel='CRSDepTime', ylabel='Disruption'>
In [18]:
# CRSArrTime
sns.scatterplot(x=flights_train["CRSArrTime"], y=flights_train["Disruption"])
Out[18]:
<Axes: xlabel='CRSArrTime', ylabel='Disruption'>
In [19]:
# Count the number of flights per year
flight_count_airline = flights_train.groupby(["Year"]).size()

# Plot bar chart
flight_count_airline.plot(kind="bar")
plt.title("Count of Flights per Year")
plt.show()
# We have a different total number of flights per year. 
In [20]:
# Count number of disruptions for each year
disruptions = flights_train.groupby("Year")["Disruption"].value_counts().unstack()

# Calculate total number of flights for each year
total_flights = flights_train["Year"].value_counts()

# Calculate ratio of disruptions per count of total flights per year
disruption_ratio = disruptions.divide(total_flights, axis=0)

# Define colors for the stacked bars
colors = ['olive', 'darkorange']

# Plot the bar chart
disruption_ratio.plot(kind="bar", stacked=True, color=colors)
plt.title("Ratio of Disrupted and Non-Disrupted Flights per Year")
plt.legend(labels=['Not Disrupted', 'Disrupted'])
plt.xlabel("Year")
plt.ylabel("Ratio")
plt.show()

# Calculate the ratio of disruptions per count of total flights per year
disruption_ratio = disruptions[1].divide(total_flights, axis=0)

# Plot the line graph for disrupted ratio
disruption_ratio.plot(kind="line", marker="o", color="red")
plt.title("Ratio of Disrupted Flights per Total Flights by Year")
plt.xlabel("Year")
plt.ylabel("Disruption Ratio")
plt.grid(True)
plt.show()

# We can see that despite the COVID19 pandemic, there are less disruptions in 2020 and 2021 compared to the other years. 
# However, we can see that 2022 (post pandemic) has more disruptions than pre pandemic years.
In [21]:
# Combine Year and Quarter into a single column
flights_train["Year_Quarter"] = flights_train["Year"].astype(str) + "-" + flights_train["Quarter"].astype(str)

# Count the number of disruptions for each year and quarter
disruptions = flights_train.groupby(["Year_Quarter", "Disruption"]).size().unstack()

# Calculate the total number of flights for each year and quarter
total_flights = flights_train["Year_Quarter"].value_counts()

# Calculate the ratio of disruptions per count of total flights per year and quarter
disruption_ratio = disruptions[1].divide(total_flights, axis=0)

# Plot the line graph for disrupted ratio
disruption_ratio.plot(figsize=(15, 5), kind="line", marker="o", color="r")
plt.title("Ratio of Disrupted Flights per Total Flights by Year and Quarter")
plt.xlabel("Year-Quarter")
plt.ylabel("Disruption Ratio")
plt.xticks(rotation=45)
plt.grid(True)
plt.show()

# A more granular exploration per year and quarter reveals that there were significantly more disruptions in the second 2020 quarter - during the first pandemic phase,
# followed by a significant drop of the disruption ratio in the third 2020 quarter. After that, the disruption rate rises and exceeds the pre pandemic level.
In [22]:
# Count the number of disruptions for each month
disruptions = flights_train.groupby(["Month", "Disruption"]).size().unstack()

# Plot the grouped bar chart
disruptions.plot(kind="bar", stacked=True, color=colors)
plt.title('Disruption by Month')
plt.legend(labels=['Not Disrupted', 'Disrupted'])
plt.show()

# Calculate the ratio of disrupted to non-disrupted flights per month
disruption_ratio = disruptions[1] / disruptions[0]

# Plot the ratio as a stacked bar chart
disruption_ratio.plot(kind="line", marker="o", color='red')
plt.title('Ratio of Disrupted to Non-Disrupted Flights per Month')
plt.xlabel('Month')
plt.ylabel('Ratio')
plt.show()

# We see differences between months. Some month have a higher disruption rate than others.
In [23]:
# Count the number of disruptions for each quarter
disruptions = flights_train.groupby(["Quarter", "Disruption"]).size().unstack()

# Plot the grouped bar chart
disruptions.plot(kind="bar", stacked=True, color=colors)
plt.title("Disruption by Quarter")
plt.legend(labels=["Not Disrupted", "Disrupted"])
plt.show()

# Calculate the ratio of disrupted to non-disrupted flights per quarter
disruption_ratio = disruptions[1] / disruptions[0]

# Plot the ratio as a stacked bar chart
disruption_ratio.plot(kind="line", marker="o", color='red')
plt.title('Ratio of Disrupted to Non-Disrupted Flights per Quarter')
plt.xlabel('Quarter')
plt.ylabel('Ratio')
plt.show()
In [24]:
# Count the number of disruptions for each day of a week
disruptions = flights_train.groupby(["DayOfWeek", "Disruption"]).size().unstack()

# Plot the grouped bar chart
disruptions.plot(kind="bar", stacked=True, color=colors)
plt.title("Disruption by Day of Week")
plt.legend(labels=["Not Disrupted", "Disrupted"])
plt.show()

# Calculate the ratio of disrupted to non-disrupted flights per day of the week
disruption_ratio = disruptions[1] / disruptions[0]

# Plot the ratio as a stacked bar chart
disruption_ratio.plot(kind="line", marker="o", color='red')
plt.title('Ratio of Disrupted to Non-Disrupted Flights per Day of the Week')
plt.xlabel('Day of Week')
plt.ylabel('Ratio')
plt.show()
In [25]:
# Count the number of disruptions for each day of a month
disruptions = flights_train.groupby(["DayofMonth", "Disruption"]).size().unstack()

# Plot the grouped bar chart
disruptions.plot(kind="bar", stacked=True, color=colors)
plt.title("Disruption by Day of Month")
plt.legend(labels=["Not Disrupted", "Disrupted"])
plt.show()

# Calculate the ratio of disrupted to non-disrupted flights per month
disruption_ratio = disruptions[1] / disruptions[0]

# Plot the ratio as a stacked bar chart
disruption_ratio.plot(kind="line", marker="o", color='red')
plt.title('Ratio of Disrupted to Non-Disrupted Flights per Day of the Month')
plt.xlabel('Day of Month')
plt.ylabel('Ratio')
plt.show()
In [26]:
# Convert the column to datetime data type
flights_train["FlightDate"] = pd.to_datetime(flights_train["FlightDate"])

# Filter the DataFrame to include only rows where 'Disruption' is equal to 1
disruptions = flights_train[flights_train["Disruption"] == 1]

# Group by the date column and count the number of disruptions for each date
disruptions_count = disruptions.groupby("FlightDate").size()

# Plot the timeline
plt.figure(figsize=(30, 6))
plt.plot(disruptions_count.index, disruptions_count.values, color="orange")
plt.ylabel("Count of Disruptions")
plt.title("Timeline of Disruptions")
plt.grid(True)
plt.show()


# Convert the column to datetime data type
flights_train["FlightDate"] = pd.to_datetime(flights_train["FlightDate"])

# Group by the date column and count the number of flights for each date
flights_count = flights_train.groupby("FlightDate").size()

# Plot the timeline
plt.figure(figsize=(30, 6))
plt.plot(flights_count.index, flights_count.values)
plt.ylabel("Count of Flights")
plt.title("Timeline of Flights")
plt.grid(True)
plt.show()
In [27]:
# Calculate the ratio of disruptions to flights for each date
ratio = disruptions_count.div(flights_count)

# Plot the timeline
plt.figure(figsize=(30, 6))
plt.plot(ratio.index, ratio.values, color="red")
plt.ylabel("Ratio of Disruptions to Flights")
plt.title("Timeline of Disruption Ratio")
plt.grid(True)
plt.show()

Results of the Timeline Analysis:¶

We can see that there has been an accumulation of disruptions in the beginning of the second quarter of 2020. After that, disruptions dropped significantly, but so did the number of flights as well. The ratio of disruptions by flights shows missing data points from mid 2020 to the beginning of 2021.

We can see that the COVID19 pandemic introduces an abnormal pattern to the usual data trend. For predicting future flights, it would therefore be worth considering to drop rows that fall into this abnormal time period, such as 2020 quarter 2 and 3.

In [28]:
# Count the number of disruptions for each airline
disruptions = flights_train.groupby(["Airline", "Disruption"]).size().unstack()

# Plot the grouped bar chart
disruptions.plot(kind="bar", stacked=True, color=colors)
plt.title("Disruption by Airline")
plt.legend(labels=["Not Disrupted", "Disrupted"])
plt.show()

# Calculate the ratio of disrupted to non-disrupted flights per month
disruption_ratio = disruptions[1] / disruptions[0]

# Plot the ratio as a stacked bar chart
disruption_ratio.plot(kind="bar", color='red')
plt.title('Ratio of Disrupted to Non-Disrupted Flights per Airline')
plt.xlabel('Airline')
plt.ylabel('Ratio')
plt.show()

# seems like Airline could be a weak indicator for disruptions - we see e.g. Delta has lower disruptions than American Airlines despite more flights in total
In [29]:
# Count the number of disruptions for code sharing flights
disruptions = flights_train.groupby(["Operated_or_Branded_Code_Share_Partners", "Disruption"]).size().unstack()

# Plot the grouped bar chart
disruptions.plot(kind="bar", stacked=True, color=colors)
plt.title("Disruption by Operated_or_Branded_Code_Share_Partners")
plt.legend(labels=["Not Disrupted", "Disrupted"])
plt.show()

# Calculate the ratio of disrupted to non-disrupted flights per month
disruption_ratio = disruptions[1] / disruptions[0]

# Plot the ratio as a stacked bar chart
disruption_ratio.plot(kind="bar", color='red')
plt.title('Ratio of Disrupted to Non-Disrupted Flights per Code Share Partners')
plt.xlabel('Operated_or_Branded_Code_Share_Partners')
plt.ylabel('Ratio')
plt.show()

# There seem to be significant differences between code share categories. Some partners have much higher disruption ratios than others.
In [30]:
# Count the number of disruptions for each airline
disruptions = flights_train.groupby(["OriginState", "Disruption"]).size().unstack()

# Plot the grouped bar chart
disruptions.plot(figsize=(20,5), kind="bar", stacked=True, color=colors)
plt.title("Disruption by OriginState")
plt.legend(labels=["Not Disrupted", "Disrupted"])
plt.show()

# Calculate the ratio of disrupted to non-disrupted flights per month
disruption_ratio = disruptions[1] / disruptions[0]

# Plot the ratio as a stacked bar chart
disruption_ratio.plot(figsize=(20,5), kind="bar", color='red')
plt.title('Ratio of Disrupted to Non-Disrupted Flights per OriginState')
plt.xlabel('OriginState')
plt.ylabel('Ratio')
plt.show()
In [31]:
# Count the number of disruptions for each destination
disruptions = flights_train.groupby(["DestState", "Disruption"]).size().unstack()

# Plot the grouped bar chart
disruptions.plot(figsize=(20,5), kind="bar", stacked=True, color=colors)
plt.title("Disruption by DestState")
plt.legend(labels=["Not Disrupted", "Disrupted"])
plt.show()

# Calculate the ratio of disrupted to non-disrupted flights per month
disruption_ratio = disruptions[1] / disruptions[0]

# Plot the ratio as a stacked bar chart
disruption_ratio.plot(figsize=(20,5), kind="bar", color='red')
plt.title('Ratio of Disrupted to Non-Disrupted Flights per DestState')
plt.xlabel('DestState')
plt.ylabel('Ratio')
plt.show()
In [32]:
# Count the number of disruptions for each flight number
disruptions = flights_train.groupby(["Flight_Number_Operating_Airline", "Disruption"]).size().unstack()

# Select top N categories based on frequency counts
top_n = 100
top_disruptions = disruptions.sum(axis=1).nlargest(top_n).index
disruptions_top_n = disruptions.loc[top_disruptions]

# Plot the grouped bar chart
disruptions_top_n.plot(figsize=(20,5), kind="bar", stacked=True, color=colors)
plt.title("Disruption by Top 100 Flight Numbers")
plt.legend(labels=["Not Disrupted", "Disrupted"])
plt.show()

# Total number of flights for each flight number
total_flights = disruptions_top_n.sum(axis=1)

# Ratio of disrupted to total flights for each flight number
disruption_ratio = disruptions_top_n[1] / total_flights

# Plot the ratio as a stacked bar chart
disruption_ratio.plot(figsize=(20,5), kind="bar", color='red')
plt.title('Disruption Ratio for Top Flight Numbers')
plt.xlabel('Flight Number')
plt.ylabel('Ratio')
plt.show()

# flight number may be a predictor for disruption
# there seem to be differences between flight numbers: Some were never disrupted, some very often.
In [33]:
# Count the number of disruptions for each distance group
disruptions = flights_train.groupby(["DistanceGroup", "Disruption"]).size().unstack()

# Plot the grouped bar chart
disruptions.plot(kind="bar", stacked=True, color=colors)
plt.title("Disruption by DistanceGroup")
plt.legend(labels=["Not Disrupted", "Disrupted"])
plt.show()

# Calculate the ratio of disrupted to non-disrupted flights per month
disruption_ratio = disruptions[1] / disruptions[0]

# Plot the ratio as a stacked bar chart
disruption_ratio.plot(kind="line", color='red', marker="o")
plt.title('Ratio of Disrupted to Non-Disrupted Flights per DistanceGroup')
plt.xlabel('DistanceGroup')
plt.ylabel('Ratio')
plt.show()

# There are some differences, the disruption rate is between 0.2 and 0.3 across all distances. 
# There is no clear trend, e.g. that long distance flights are less disrupted than short distance flights. 
# As there is no clear pattern visible, I consider the distance in general not as a good predictor for disruptions.
In [34]:
# Count the number of disruptions for each departure slot
disruptions = flights_train.groupby(["DepTimeBlk", "Disruption"]).size().unstack()

# Plot the grouped bar chart
disruptions.plot(kind="bar", stacked=True, color=colors)
plt.title("Disruption by DepTimeBlk")
plt.legend(labels=["Not Disrupted", "Disrupted"])
plt.show()

# Calculate the ratio of disrupted to non-disrupted flights per month
disruption_ratio = disruptions[1] / disruptions[0]

# Plot the ratio as a stacked bar chart
disruption_ratio.plot(kind="line", color='red', marker="o")
plt.title('Ratio of Disrupted to Non-Disrupted Flights per DepTimeBlk')
plt.xlabel('DepTimeBlk')
plt.ylabel('Ratio')
plt.show()

# There are significant differences between departure time slots
# Afternoon flights seem to have an increased disruption ratio compared to flights departing in the morning or late evening/night.
In [35]:
# Count the number of disruptions for each arrival slot
disruptions = flights_train.groupby(["ArrTimeBlk", "Disruption"]).size().unstack()

# Plot the grouped bar chart
disruptions.plot(kind="bar", stacked=True, color=colors)
plt.title("Disruption by ArrTimeBlk")
plt.legend(labels=["Not Disrupted", "Disrupted"])
plt.show()

# Calculate the ratio of disrupted to non-disrupted flights per month
disruption_ratio = disruptions[1] / disruptions[0]

# Plot the ratio as a stacked bar chart
disruption_ratio.plot(kind="line", color='red', marker="o")
plt.title('Ratio of Disrupted to Non-Disrupted Flights per ArrTimeBlk')
plt.xlabel('ArrTimeBlk')
plt.ylabel('Ratio')
plt.show()

# We see that flights departing directly after midnight are often disrupted.
# We see that flights before noon are less likely to be disrupted, with a rising trend during the day and highest ratio of disruptions with flights arriving in the evening/at night.
In [36]:
# Relationship between features
cross_tab = pd.crosstab(flights_train["Airline"], flights_train["DepTimeBlk"])

# Plot heatmap
plt.figure(figsize=(12, 8))
sns.heatmap(cross_tab, cmap="YlGnBu", annot=True, fmt="d")
plt.title("Relationship between Airline and Departure Time Block")
plt.xlabel("Departure Time Block")
plt.ylabel("Airline")
plt.show()

# Relationship between features
cross_tab = pd.crosstab(flights_train["Airline"], flights_train["ArrTimeBlk"])

# Plot heatmap
plt.figure(figsize=(12, 8))
sns.heatmap(cross_tab, cmap="YlGnBu", annot=True, fmt="d")
plt.title("Relationship between Airline and Arrival Time Block")
plt.xlabel("Arrival Time Block")
plt.ylabel("Airline")
plt.show()
In [37]:
# Relationship between features
cross_tab = pd.crosstab(flights_train["Airline"], flights_train["DistanceGroup"])

# Plot heatmap
plt.figure(figsize=(12, 8))
sns.heatmap(cross_tab, cmap="YlGnBu", annot=True, fmt="d")
plt.title("Relationship between Airline and Distance Group")
plt.xlabel("Distance Group")
plt.ylabel("Airline")
plt.show()
In [38]:
# Relationship between features

# Airline and OriginState
cross_tab = pd.crosstab(flights_train["Airline"], flights_train["OriginState"])

# Plot heatmap
plt.figure(figsize=(20, 10))
sns.heatmap(cross_tab, cmap="YlGnBu", annot=True, fmt="d")
plt.title("Relationship between Airline and Origin")
plt.xlabel("Origin State")
plt.ylabel("Airline")
plt.show()

# Airline and DestState
cross_tab = pd.crosstab(flights_train["Airline"], flights_train["DestState"])

# Plot heatmap
plt.figure(figsize=(20, 10))
sns.heatmap(cross_tab, cmap="YlGnBu", annot=True, fmt="d")
plt.title("Relationship between Airline and Destination")
plt.xlabel("Dest State")
plt.ylabel("Airline")
plt.show()

# Some Airlines seem to have a primary origin state - possibly, because airlines oftentimes have something like a "home" or base airport. 
# It is difficult to visually represent the relationship between airlines and airports as there are so many different airports across the US.
# However, using state instead gives us an indication that there are indeed relationships between airline and origin/destination of flights.
# We can also see that the heatmaps for Origin and Destination look similar - which supports the theory of airlines having home airports.
# Therefore, I think that including either of origin or destination state for the prediction is sufficient, no need to include both.

Results of Data Exploration:¶

  • Timeline Analysis reveals that there are difference between years, quarters, months, days of a month and days of a week. We also see that the COVID19 pandemic caused some extreme outliers (first a significant increase of disruptions, followed by a significant drop of disruptions). Therefore, flights during these phases have probably a limitation in being representative for disruption prediction of flights.

  • We see a strong trend in arrival and departure time blocks. The later the departure/arrival, the higher the disruption ratio.

  • There are significant differences in disruptions between airlines and origins/destinations. Furthermore, there is a relationship between some airlines and particular origins or destinations. This is reasonable given that many airlines have a home airport where most of their flights depart and arrive.

  • There are also differences between distance groups. However, this can be the case because different airlines may serve specific distances (or particular flights falling into a specific distance group). Therefore, the differences in disruptions across distance groups can be due to the differences between airlines.

  • There seem also to differences in disruptions across flight numbers. However, as there are more than 5000 different flight numbers in this dataset, it was infeasible to visualise all the whole dataset. I assume that the flight number is per se a good predictor for disruptions, as we could see from the top 100 flight numbers, that there are some without disruptions and some with many disruptions. However, including flight number into the model features would add a lot of complexity to the model.

Feature Selection¶

Based on usefulness considerations, and data exploration, I would keep the following features:

  1. Airline
  2. DepTimeBlk
  3. ArrTimeBlk
  4. OriginState
  5. DistanceGroup
  6. Month
  7. DayOfWeek
  8. (Flight_Number)*
  9. Operated_or_Branded_Code_Share_Partners
  10. Disruption

*Flight Number adds a lot of complexity to the models. I run a random forest model on the small dataset first without and then including flight number, with significant differences in computing time.

In [39]:
# features
columns_to_keep = ["Airline", "DepTimeBlk", "ArrTimeBlk", "OriginState", "DistanceGroup", "Month", "DayOfWeek", "Flight_Number_Operating_Airline", "Operated_or_Branded_Code_Share_Partners", "Disruption"]

# "Flight_Number_Operating_Airline",

flights_train = flights_train[columns_to_keep]
flights_train.head()
Out[39]:
Airline DepTimeBlk ArrTimeBlk OriginState DistanceGroup Month DayOfWeek Flight_Number_Operating_Airline Operated_or_Branded_Code_Share_Partners Disruption
3664 Delta Air Lines Inc. 1700-1759 1800-1859 PA 3 4 4 792 DL 0
19869 Air Wisconsin Airlines Corp 2100-2159 2200-2259 IL 1 9 2 3947 UA_CODESHARE 0
14739 SkyWest Airlines Inc. 1400-1459 1500-1559 NY 2 8 7 5130 UA_CODESHARE 0
21303 Southwest Airlines Co. 0800-0859 1200-1259 TX 5 10 5 1364 WN 1
22662 SkyWest Airlines Inc. 0600-0659 0700-0759 FL 4 7 1 3006 AA_CODESHARE 0

Feature Engineering¶

I would like to make the following adjustment to the selected features:

  • Group departure and arrival time slots into early and late
In [40]:
# DepTimeBlk and ArrTimeBlk

# We have seen that there might be a difference in disruptions in the departure or arrival time of a flight. 
# It seemed like there are more disruptions in flights departing or arriving late.
# I will convert morning/evening departures or arrivals into 0 and afternoon into 1
# Note that for arrivals, I put the 0001-0059 time slot to the late day time period, because we saw that their disruption ratio is on a similar level than the late day arrivals.

def transformer_timeslots_binary(X):

    early_day_arrival = [
        "0600-0659",
        "0700-0759",
        "0800-0859",
        "0900-0959",
        "1000-1059",
        "1100-1159",
        "1200-1259",
        "1300-1359"          
    ]
    later_day_arrival = [
        "0001-0059",
        "1400-1459",
        "1500-1559",
        "1600-1659",
        "1700-1759",
        "1800-1859",
        "1900-1959",
        "2000-2059",
        "2100-2159",
        "2200-2259",
        "2300-2359" 
    ]
    
    early_day_departure = [
        "0001-0059",
        "0600-0659",
        "0700-0759",
        "0800-0859",
        "0900-0959",
        "1000-1059",
        "1100-1159",
        "1200-1259",
        "1300-1359"          
    ]
    later_day_departure = [
        "1400-1459",
        "1500-1559",
        "1600-1659",
        "1700-1759",
        "1800-1859",
        "1900-1959",
        "2000-2059",
        "2100-2159",
        "2200-2259",
        "2300-2359" 
    ]

    arrival_conditions = [
        (X["ArrTimeBlk"].isin(early_day_arrival)),
        (X["ArrTimeBlk"].isin(later_day_arrival)),
    ]
    
    departure_conditions = [
        (X["DepTimeBlk"].isin(early_day_departure)),
        (X["DepTimeBlk"].isin(later_day_departure)),
    ]
    
    choices = [0, 1]


    X["ArrTimeBlk"] =  np.select(arrival_conditions, choices)
    # X["ArrTimeBlk"] = pd.Categorical(X["ArrTimeBlk"])

    X["DepTimeBlk"] =  np.select(departure_conditions, choices)
    # X["DepTimeBlk"] = pd.Categorical(X["DepTimeBlk"])

    return X

Data Type Conversion¶

In [41]:
# check data types for conversion
# flights_train.info()

# define for which columns we convert the data type
convert_datatype_toCategory = [
    "Airline",
    "OriginState", 
    "DistanceGroup", 
    "Month", 
    "DayOfWeek",
    "Flight_Number_Operating_Airline", 
    "Operated_or_Branded_Code_Share_Partners"
]

convert_datatype_toInt = [
    "DepTimeBlk",
    "ArrTimeBlk",
    "Disruption"
]

def convert_datatype(X, convert_datatype_toCategory, convert_datatype_toInt):

    # for every datatype in the array, change the type to categorical
    for catcol in convert_datatype_toCategory:
        X[catcol] = pd.Categorical(X[catcol])

    for catcol in convert_datatype_toInt:
        X[catcol] = X[catcol].astype(int)

    # check new data types
    flights_train.dtypes

    return X

Data Wrangling¶

Check for Null Values¶

In [42]:
# find columns with null values
# no null values in the chosen features
flights_train.info()
<class 'pandas.core.frame.DataFrame'>
Index: 23352 entries, 3664 to 993
Data columns (total 10 columns):
 #   Column                                   Non-Null Count  Dtype 
---  ------                                   --------------  ----- 
 0   Airline                                  23352 non-null  object
 1   DepTimeBlk                               23352 non-null  object
 2   ArrTimeBlk                               23352 non-null  object
 3   OriginState                              23352 non-null  object
 4   DistanceGroup                            23352 non-null  int64 
 5   Month                                    23352 non-null  int64 
 6   DayOfWeek                                23352 non-null  int64 
 7   Flight_Number_Operating_Airline          23352 non-null  int64 
 8   Operated_or_Branded_Code_Share_Partners  23352 non-null  object
 9   Disruption                               23352 non-null  int64 
dtypes: int64(5), object(5)
memory usage: 2.0+ MB

Encoding¶

Encode categorical values with One Hot Encoder. Both Airline and Year_Quarter are nominal catigorical, which is why we use one hot encoding and not ordinal encoding.

In [43]:
def onehotencoding(X):

    from sklearn.preprocessing import OneHotEncoder

    # define encoder
    one_hot_encoder = OneHotEncoder(sparse_output=False)
    one_hot_encoder.set_output(transform="pandas")

    categorical_attributes = ['Airline', 'OriginState', 'DistanceGroup', 'Month', 'DayOfWeek', 'Flight_Number_Operating_Airline', 'Operated_or_Branded_Code_Share_Partners']
    data_categorical_encoded = pd.DataFrame(one_hot_encoder.fit_transform(X[categorical_attributes]))
    # 'Flight_Number_Operating_Airline',
    X = pd.concat((X, data_categorical_encoded), axis=1)

    # drop redundant features
    columns_to_drop = ['Airline', 'OriginState', 'DistanceGroup', 'Month', 'DayOfWeek', 'Flight_Number_Operating_Airline', 'Operated_or_Branded_Code_Share_Partners']
    X = X.drop(columns=columns_to_drop)
    X.head()

    return X

Pipeline¶

In [44]:
def clean_and_prep(X, columns_to_keep):

    # drop columns
    X = X[columns_to_keep]

    # Feature Engineeering

    # Time slot
    X = transformer_timeslots_binary(X)

    # Data Conversion
    X = convert_datatype(X, convert_datatype_toCategory, convert_datatype_toInt)
    
    # One_Hot_Encoder
    X = onehotencoding(X)

    return X

# X = flights_train
X = flights_test

prepared_data = clean_and_prep(X, columns_to_keep)

prepared_data
/var/folders/k3/glkpl6qn5q77t9gk1w092j2w0000gn/T/ipykernel_7824/4067723223.py:71: SettingWithCopyWarning: 
A value is trying to be set on a copy of a slice from a DataFrame.
Try using .loc[row_indexer,col_indexer] = value instead

See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy
  X["ArrTimeBlk"] =  np.select(arrival_conditions, choices)
/var/folders/k3/glkpl6qn5q77t9gk1w092j2w0000gn/T/ipykernel_7824/4067723223.py:74: SettingWithCopyWarning: 
A value is trying to be set on a copy of a slice from a DataFrame.
Try using .loc[row_indexer,col_indexer] = value instead

See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy
  X["DepTimeBlk"] =  np.select(departure_conditions, choices)
/var/folders/k3/glkpl6qn5q77t9gk1w092j2w0000gn/T/ipykernel_7824/1109583602.py:25: SettingWithCopyWarning: 
A value is trying to be set on a copy of a slice from a DataFrame.
Try using .loc[row_indexer,col_indexer] = value instead

See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy
  X[catcol] = pd.Categorical(X[catcol])
/var/folders/k3/glkpl6qn5q77t9gk1w092j2w0000gn/T/ipykernel_7824/1109583602.py:25: SettingWithCopyWarning: 
A value is trying to be set on a copy of a slice from a DataFrame.
Try using .loc[row_indexer,col_indexer] = value instead

See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy
  X[catcol] = pd.Categorical(X[catcol])
/var/folders/k3/glkpl6qn5q77t9gk1w092j2w0000gn/T/ipykernel_7824/1109583602.py:25: SettingWithCopyWarning: 
A value is trying to be set on a copy of a slice from a DataFrame.
Try using .loc[row_indexer,col_indexer] = value instead

See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy
  X[catcol] = pd.Categorical(X[catcol])
/var/folders/k3/glkpl6qn5q77t9gk1w092j2w0000gn/T/ipykernel_7824/1109583602.py:28: SettingWithCopyWarning: 
A value is trying to be set on a copy of a slice from a DataFrame.
Try using .loc[row_indexer,col_indexer] = value instead

See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy
  X[catcol] = X[catcol].astype(int)
/var/folders/k3/glkpl6qn5q77t9gk1w092j2w0000gn/T/ipykernel_7824/1109583602.py:28: SettingWithCopyWarning: 
A value is trying to be set on a copy of a slice from a DataFrame.
Try using .loc[row_indexer,col_indexer] = value instead

See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy
  X[catcol] = X[catcol].astype(int)
/var/folders/k3/glkpl6qn5q77t9gk1w092j2w0000gn/T/ipykernel_7824/1109583602.py:28: SettingWithCopyWarning: 
A value is trying to be set on a copy of a slice from a DataFrame.
Try using .loc[row_indexer,col_indexer] = value instead

See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy
  X[catcol] = X[catcol].astype(int)
Out[44]:
DepTimeBlk ArrTimeBlk Disruption Airline_Air Wisconsin Airlines Corp Airline_Alaska Airlines Inc. Airline_Allegiant Air Airline_American Airlines Inc. Airline_Capital Cargo International Airline_Comair Inc. Airline_Commutair Aka Champlain Enterprises, Inc. Airline_Compass Airlines Airline_Delta Air Lines Inc. Airline_Empire Airlines Inc. Airline_Endeavor Air Inc. Airline_Envoy Air Airline_ExpressJet Airlines Inc. Airline_Frontier Airlines Inc. Airline_GoJet Airlines, LLC d/b/a United Express Airline_Hawaiian Airlines Inc. Airline_Horizon Air Airline_JetBlue Airways Airline_Mesa Airlines Inc. Airline_Republic Airlines Airline_SkyWest Airlines Inc. Airline_Southwest Airlines Co. Airline_Spirit Air Lines Airline_Trans States Airlines Airline_United Air Lines Inc. Airline_Virgin America OriginState_AK OriginState_AL OriginState_AR OriginState_AZ OriginState_CA OriginState_CO OriginState_CT OriginState_FL OriginState_GA OriginState_HI OriginState_IA OriginState_ID OriginState_IL OriginState_IN OriginState_KS OriginState_KY OriginState_LA OriginState_MA OriginState_MD OriginState_ME OriginState_MI OriginState_MN OriginState_MO OriginState_MS OriginState_MT OriginState_NC OriginState_ND OriginState_NE OriginState_NH OriginState_NJ OriginState_NM OriginState_NV OriginState_NY OriginState_OH OriginState_OK OriginState_OR OriginState_PA OriginState_PR OriginState_RI OriginState_SC OriginState_SD OriginState_TN OriginState_TT OriginState_TX OriginState_UT OriginState_VA OriginState_VI OriginState_VT OriginState_WA OriginState_WI OriginState_WV OriginState_WY DistanceGroup_1 DistanceGroup_2 DistanceGroup_3 DistanceGroup_4 DistanceGroup_5 DistanceGroup_6 DistanceGroup_7 DistanceGroup_8 DistanceGroup_9 DistanceGroup_10 DistanceGroup_11 Month_1 Month_2 Month_3 Month_4 Month_5 Month_6 Month_7 Month_8 Month_9 Month_10 Month_11 Month_12 DayOfWeek_1 DayOfWeek_2 DayOfWeek_3 DayOfWeek_4 DayOfWeek_5 DayOfWeek_6 DayOfWeek_7 Flight_Number_Operating_Airline_1 Flight_Number_Operating_Airline_2 Flight_Number_Operating_Airline_3 Flight_Number_Operating_Airline_4 Flight_Number_Operating_Airline_6 Flight_Number_Operating_Airline_9 Flight_Number_Operating_Airline_10 Flight_Number_Operating_Airline_15 Flight_Number_Operating_Airline_16 Flight_Number_Operating_Airline_19 Flight_Number_Operating_Airline_20 Flight_Number_Operating_Airline_21 Flight_Number_Operating_Airline_22 Flight_Number_Operating_Airline_23 Flight_Number_Operating_Airline_24 Flight_Number_Operating_Airline_25 Flight_Number_Operating_Airline_27 Flight_Number_Operating_Airline_28 Flight_Number_Operating_Airline_29 Flight_Number_Operating_Airline_30 Flight_Number_Operating_Airline_31 Flight_Number_Operating_Airline_32 Flight_Number_Operating_Airline_34 Flight_Number_Operating_Airline_35 Flight_Number_Operating_Airline_36 Flight_Number_Operating_Airline_37 Flight_Number_Operating_Airline_38 Flight_Number_Operating_Airline_40 Flight_Number_Operating_Airline_42 Flight_Number_Operating_Airline_44 Flight_Number_Operating_Airline_48 Flight_Number_Operating_Airline_49 Flight_Number_Operating_Airline_50 Flight_Number_Operating_Airline_51 Flight_Number_Operating_Airline_52 Flight_Number_Operating_Airline_53 Flight_Number_Operating_Airline_54 Flight_Number_Operating_Airline_55 Flight_Number_Operating_Airline_58 Flight_Number_Operating_Airline_59 Flight_Number_Operating_Airline_61 Flight_Number_Operating_Airline_62 Flight_Number_Operating_Airline_64 Flight_Number_Operating_Airline_66 Flight_Number_Operating_Airline_67 Flight_Number_Operating_Airline_68 Flight_Number_Operating_Airline_70 Flight_Number_Operating_Airline_74 Flight_Number_Operating_Airline_78 Flight_Number_Operating_Airline_81 Flight_Number_Operating_Airline_82 Flight_Number_Operating_Airline_86 Flight_Number_Operating_Airline_87 Flight_Number_Operating_Airline_89 Flight_Number_Operating_Airline_91 Flight_Number_Operating_Airline_96 Flight_Number_Operating_Airline_98 Flight_Number_Operating_Airline_99 Flight_Number_Operating_Airline_100 Flight_Number_Operating_Airline_101 Flight_Number_Operating_Airline_102 Flight_Number_Operating_Airline_103 Flight_Number_Operating_Airline_104 Flight_Number_Operating_Airline_105 Flight_Number_Operating_Airline_107 Flight_Number_Operating_Airline_111 Flight_Number_Operating_Airline_112 Flight_Number_Operating_Airline_117 Flight_Number_Operating_Airline_118 Flight_Number_Operating_Airline_120 Flight_Number_Operating_Airline_121 Flight_Number_Operating_Airline_122 Flight_Number_Operating_Airline_123 Flight_Number_Operating_Airline_124 Flight_Number_Operating_Airline_126 Flight_Number_Operating_Airline_128 Flight_Number_Operating_Airline_129 Flight_Number_Operating_Airline_132 Flight_Number_Operating_Airline_133 Flight_Number_Operating_Airline_135 Flight_Number_Operating_Airline_136 Flight_Number_Operating_Airline_137 Flight_Number_Operating_Airline_138 Flight_Number_Operating_Airline_139 Flight_Number_Operating_Airline_140 Flight_Number_Operating_Airline_143 Flight_Number_Operating_Airline_144 Flight_Number_Operating_Airline_146 Flight_Number_Operating_Airline_148 Flight_Number_Operating_Airline_149 Flight_Number_Operating_Airline_150 Flight_Number_Operating_Airline_151 Flight_Number_Operating_Airline_153 Flight_Number_Operating_Airline_154 Flight_Number_Operating_Airline_155 Flight_Number_Operating_Airline_156 Flight_Number_Operating_Airline_157 Flight_Number_Operating_Airline_158 Flight_Number_Operating_Airline_159 Flight_Number_Operating_Airline_160 Flight_Number_Operating_Airline_162 Flight_Number_Operating_Airline_163 Flight_Number_Operating_Airline_166 Flight_Number_Operating_Airline_167 Flight_Number_Operating_Airline_168 Flight_Number_Operating_Airline_169 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Flight_Number_Operating_Airline_251 Flight_Number_Operating_Airline_253 Flight_Number_Operating_Airline_255 Flight_Number_Operating_Airline_256 Flight_Number_Operating_Airline_258 Flight_Number_Operating_Airline_259 Flight_Number_Operating_Airline_260 Flight_Number_Operating_Airline_261 Flight_Number_Operating_Airline_262 Flight_Number_Operating_Airline_265 Flight_Number_Operating_Airline_266 Flight_Number_Operating_Airline_267 Flight_Number_Operating_Airline_269 Flight_Number_Operating_Airline_270 Flight_Number_Operating_Airline_271 Flight_Number_Operating_Airline_274 Flight_Number_Operating_Airline_276 Flight_Number_Operating_Airline_277 Flight_Number_Operating_Airline_278 Flight_Number_Operating_Airline_279 Flight_Number_Operating_Airline_281 Flight_Number_Operating_Airline_283 Flight_Number_Operating_Airline_284 Flight_Number_Operating_Airline_286 Flight_Number_Operating_Airline_287 Flight_Number_Operating_Airline_290 Flight_Number_Operating_Airline_292 Flight_Number_Operating_Airline_293 Flight_Number_Operating_Airline_294 Flight_Number_Operating_Airline_295 Flight_Number_Operating_Airline_296 Flight_Number_Operating_Airline_297 Flight_Number_Operating_Airline_298 Flight_Number_Operating_Airline_299 Flight_Number_Operating_Airline_300 Flight_Number_Operating_Airline_301 Flight_Number_Operating_Airline_302 Flight_Number_Operating_Airline_303 Flight_Number_Operating_Airline_304 Flight_Number_Operating_Airline_305 Flight_Number_Operating_Airline_308 Flight_Number_Operating_Airline_309 Flight_Number_Operating_Airline_312 Flight_Number_Operating_Airline_313 Flight_Number_Operating_Airline_314 Flight_Number_Operating_Airline_315 Flight_Number_Operating_Airline_316 Flight_Number_Operating_Airline_318 Flight_Number_Operating_Airline_319 Flight_Number_Operating_Airline_320 Flight_Number_Operating_Airline_321 Flight_Number_Operating_Airline_322 Flight_Number_Operating_Airline_323 Flight_Number_Operating_Airline_324 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Flight_Number_Operating_Airline_362 Flight_Number_Operating_Airline_363 Flight_Number_Operating_Airline_364 Flight_Number_Operating_Airline_365 Flight_Number_Operating_Airline_366 Flight_Number_Operating_Airline_367 Flight_Number_Operating_Airline_368 Flight_Number_Operating_Airline_369 Flight_Number_Operating_Airline_370 Flight_Number_Operating_Airline_371 Flight_Number_Operating_Airline_373 Flight_Number_Operating_Airline_375 Flight_Number_Operating_Airline_376 Flight_Number_Operating_Airline_377 Flight_Number_Operating_Airline_378 Flight_Number_Operating_Airline_380 Flight_Number_Operating_Airline_381 Flight_Number_Operating_Airline_383 Flight_Number_Operating_Airline_384 Flight_Number_Operating_Airline_385 Flight_Number_Operating_Airline_388 Flight_Number_Operating_Airline_389 Flight_Number_Operating_Airline_390 Flight_Number_Operating_Airline_391 Flight_Number_Operating_Airline_392 Flight_Number_Operating_Airline_395 Flight_Number_Operating_Airline_396 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Flight_Number_Operating_Airline_674 Flight_Number_Operating_Airline_675 Flight_Number_Operating_Airline_676 Flight_Number_Operating_Airline_678 Flight_Number_Operating_Airline_679 Flight_Number_Operating_Airline_680 Flight_Number_Operating_Airline_681 Flight_Number_Operating_Airline_682 Flight_Number_Operating_Airline_683 Flight_Number_Operating_Airline_684 Flight_Number_Operating_Airline_685 Flight_Number_Operating_Airline_687 Flight_Number_Operating_Airline_688 Flight_Number_Operating_Airline_689 Flight_Number_Operating_Airline_690 Flight_Number_Operating_Airline_691 Flight_Number_Operating_Airline_692 Flight_Number_Operating_Airline_694 Flight_Number_Operating_Airline_696 Flight_Number_Operating_Airline_697 Flight_Number_Operating_Airline_698 Flight_Number_Operating_Airline_700 Flight_Number_Operating_Airline_701 Flight_Number_Operating_Airline_702 Flight_Number_Operating_Airline_703 Flight_Number_Operating_Airline_704 Flight_Number_Operating_Airline_705 Flight_Number_Operating_Airline_706 Flight_Number_Operating_Airline_707 Flight_Number_Operating_Airline_708 Flight_Number_Operating_Airline_709 Flight_Number_Operating_Airline_710 Flight_Number_Operating_Airline_711 Flight_Number_Operating_Airline_712 Flight_Number_Operating_Airline_713 Flight_Number_Operating_Airline_714 Flight_Number_Operating_Airline_715 Flight_Number_Operating_Airline_716 Flight_Number_Operating_Airline_719 Flight_Number_Operating_Airline_720 Flight_Number_Operating_Airline_721 Flight_Number_Operating_Airline_723 Flight_Number_Operating_Airline_724 Flight_Number_Operating_Airline_725 Flight_Number_Operating_Airline_726 Flight_Number_Operating_Airline_727 Flight_Number_Operating_Airline_728 Flight_Number_Operating_Airline_729 Flight_Number_Operating_Airline_730 Flight_Number_Operating_Airline_731 Flight_Number_Operating_Airline_732 Flight_Number_Operating_Airline_733 Flight_Number_Operating_Airline_734 Flight_Number_Operating_Airline_735 Flight_Number_Operating_Airline_736 Flight_Number_Operating_Airline_738 Flight_Number_Operating_Airline_740 Flight_Number_Operating_Airline_743 Flight_Number_Operating_Airline_744 Flight_Number_Operating_Airline_745 Flight_Number_Operating_Airline_746 Flight_Number_Operating_Airline_747 Flight_Number_Operating_Airline_748 Flight_Number_Operating_Airline_749 Flight_Number_Operating_Airline_751 Flight_Number_Operating_Airline_752 Flight_Number_Operating_Airline_754 Flight_Number_Operating_Airline_755 Flight_Number_Operating_Airline_756 Flight_Number_Operating_Airline_757 Flight_Number_Operating_Airline_758 Flight_Number_Operating_Airline_759 Flight_Number_Operating_Airline_760 Flight_Number_Operating_Airline_761 Flight_Number_Operating_Airline_762 Flight_Number_Operating_Airline_763 Flight_Number_Operating_Airline_764 Flight_Number_Operating_Airline_765 Flight_Number_Operating_Airline_766 Flight_Number_Operating_Airline_767 Flight_Number_Operating_Airline_770 Flight_Number_Operating_Airline_771 Flight_Number_Operating_Airline_772 Flight_Number_Operating_Airline_773 Flight_Number_Operating_Airline_775 Flight_Number_Operating_Airline_776 Flight_Number_Operating_Airline_777 Flight_Number_Operating_Airline_778 Flight_Number_Operating_Airline_779 Flight_Number_Operating_Airline_780 Flight_Number_Operating_Airline_781 Flight_Number_Operating_Airline_783 Flight_Number_Operating_Airline_784 Flight_Number_Operating_Airline_785 Flight_Number_Operating_Airline_786 Flight_Number_Operating_Airline_788 Flight_Number_Operating_Airline_790 Flight_Number_Operating_Airline_791 Flight_Number_Operating_Airline_792 Flight_Number_Operating_Airline_793 Flight_Number_Operating_Airline_794 Flight_Number_Operating_Airline_795 Flight_Number_Operating_Airline_796 Flight_Number_Operating_Airline_798 Flight_Number_Operating_Airline_799 Flight_Number_Operating_Airline_800 Flight_Number_Operating_Airline_801 Flight_Number_Operating_Airline_802 Flight_Number_Operating_Airline_803 Flight_Number_Operating_Airline_804 Flight_Number_Operating_Airline_805 Flight_Number_Operating_Airline_806 Flight_Number_Operating_Airline_807 Flight_Number_Operating_Airline_809 Flight_Number_Operating_Airline_811 Flight_Number_Operating_Airline_812 Flight_Number_Operating_Airline_813 Flight_Number_Operating_Airline_814 Flight_Number_Operating_Airline_815 Flight_Number_Operating_Airline_816 Flight_Number_Operating_Airline_817 Flight_Number_Operating_Airline_818 Flight_Number_Operating_Airline_819 Flight_Number_Operating_Airline_820 Flight_Number_Operating_Airline_821 Flight_Number_Operating_Airline_822 Flight_Number_Operating_Airline_824 Flight_Number_Operating_Airline_825 Flight_Number_Operating_Airline_826 Flight_Number_Operating_Airline_827 Flight_Number_Operating_Airline_830 Flight_Number_Operating_Airline_832 Flight_Number_Operating_Airline_833 Flight_Number_Operating_Airline_834 Flight_Number_Operating_Airline_835 Flight_Number_Operating_Airline_836 Flight_Number_Operating_Airline_837 Flight_Number_Operating_Airline_842 Flight_Number_Operating_Airline_843 Flight_Number_Operating_Airline_844 Flight_Number_Operating_Airline_845 Flight_Number_Operating_Airline_846 Flight_Number_Operating_Airline_847 Flight_Number_Operating_Airline_849 Flight_Number_Operating_Airline_850 Flight_Number_Operating_Airline_851 Flight_Number_Operating_Airline_852 Flight_Number_Operating_Airline_854 Flight_Number_Operating_Airline_856 Flight_Number_Operating_Airline_860 Flight_Number_Operating_Airline_861 Flight_Number_Operating_Airline_863 Flight_Number_Operating_Airline_864 Flight_Number_Operating_Airline_865 Flight_Number_Operating_Airline_866 Flight_Number_Operating_Airline_867 Flight_Number_Operating_Airline_871 Flight_Number_Operating_Airline_874 Flight_Number_Operating_Airline_875 Flight_Number_Operating_Airline_877 Flight_Number_Operating_Airline_879 Flight_Number_Operating_Airline_880 Flight_Number_Operating_Airline_881 Flight_Number_Operating_Airline_882 Flight_Number_Operating_Airline_883 Flight_Number_Operating_Airline_884 Flight_Number_Operating_Airline_885 Flight_Number_Operating_Airline_887 Flight_Number_Operating_Airline_888 Flight_Number_Operating_Airline_889 Flight_Number_Operating_Airline_890 Flight_Number_Operating_Airline_891 Flight_Number_Operating_Airline_892 Flight_Number_Operating_Airline_894 Flight_Number_Operating_Airline_895 Flight_Number_Operating_Airline_896 Flight_Number_Operating_Airline_897 Flight_Number_Operating_Airline_899 Flight_Number_Operating_Airline_901 Flight_Number_Operating_Airline_902 Flight_Number_Operating_Airline_904 Flight_Number_Operating_Airline_905 Flight_Number_Operating_Airline_906 Flight_Number_Operating_Airline_908 Flight_Number_Operating_Airline_911 Flight_Number_Operating_Airline_913 Flight_Number_Operating_Airline_914 Flight_Number_Operating_Airline_917 Flight_Number_Operating_Airline_919 Flight_Number_Operating_Airline_920 Flight_Number_Operating_Airline_925 Flight_Number_Operating_Airline_927 Flight_Number_Operating_Airline_931 Flight_Number_Operating_Airline_932 Flight_Number_Operating_Airline_933 Flight_Number_Operating_Airline_935 Flight_Number_Operating_Airline_936 Flight_Number_Operating_Airline_938 Flight_Number_Operating_Airline_939 Flight_Number_Operating_Airline_940 Flight_Number_Operating_Airline_942 Flight_Number_Operating_Airline_944 Flight_Number_Operating_Airline_945 Flight_Number_Operating_Airline_946 Flight_Number_Operating_Airline_947 Flight_Number_Operating_Airline_948 Flight_Number_Operating_Airline_950 Flight_Number_Operating_Airline_951 Flight_Number_Operating_Airline_952 Flight_Number_Operating_Airline_953 Flight_Number_Operating_Airline_954 Flight_Number_Operating_Airline_955 Flight_Number_Operating_Airline_956 Flight_Number_Operating_Airline_957 Flight_Number_Operating_Airline_961 Flight_Number_Operating_Airline_963 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5839 rows × 3786 columns

Standard Scaler¶

In [45]:
from sklearn.preprocessing import StandardScaler

# separate label from features
X = prepared_data.drop(["Disruption"], axis=1)
y = prepared_data["Disruption"]

# scale
scaler = StandardScaler()
X_data = scaler.fit_transform(X)
y_data = y.to_numpy()

print(X_data)
print(y_data)
[[ 1.06386086  0.85654529 -0.11711224 ... -0.37622397 -0.02618241
  -0.46388846]
 [ 1.06386086  0.85654529 -0.11711224 ... -0.37622397 -0.02618241
  -0.46388846]
 [ 1.06386086  0.85654529  8.5388168  ...  2.65799118 -0.02618241
  -0.46388846]
 ...
 [-0.93997255 -1.16748059 -0.11711224 ... -0.37622397 -0.02618241
  -0.46388846]
 [ 1.06386086  0.85654529 -0.11711224 ... -0.37622397 -0.02618241
  -0.46388846]
 [ 1.06386086  0.85654529 -0.11711224 ... -0.37622397 -0.02618241
  -0.46388846]]
[0 0 0 ... 0 1 0]

Select a Model¶

As we saw during data exploration, most of the categorical features (as well as the label) are imbalanced. This likely causes a model to favour the majority class in its predictions.

While it would have been possible to balance catagories artificially - e.g., by grouping categories with less values together so that the consolidated category is approximately as large as the remaining categories - I did not do this for none of the features except for departure and arrival time blocks. The reason behind this decision is that I did not see clear patterns behind the other categories that would have allowed me to group these categories based on a logical trend or pattern. For departure and arrival time blocks, the grouping made sense because there was a clear trend visible between early and late times.

Therefore, I believe it would make more sense to adjust class weights when training the model.

In [46]:
# What percentage of flights is disrupted?
disrupted_flights = ((flights_train["Disruption"] == 1).sum() / len(flights_train))
print(disrupted_flights)

# About 20% of flights in the dataset are disrupted. The categories in the label are, therefore, imbalanced, causing the models to predict every flight to be not disrupted.
0.19946899623158615

1. Random Forest¶

The Random Forest performed slightly better in the first place, which is why I chose and fine tuned it.

My implementation of the Random Forest Model is based on a YouTube video by NeuralNine, "Titanic Survival Prediction in Python - Machine Learning Project" https://www.youtube.com/watch?v=fATVVQfFyU0 (last accessed 23/02/24).

The balancing of class weights is based on https://scikit-learn.org/stable/modules/generated/sklearn.utils.class_weight.compute_sample_weight.html (last accessed 23/02/24).

In [47]:
from sklearn.ensemble import RandomForestClassifier
from sklearn.model_selection import GridSearchCV
from sklearn.metrics import classification_report, confusion_matrix
from sklearn.utils.class_weight import compute_sample_weight

# create sample weights for the labels
# we have to do this because the labels are not balanced
sample_weights1 = compute_sample_weight(class_weight='balanced', y=y_data)

# create random forest classifier
clf = RandomForestClassifier()

# define parameter grid for GridSearchCV
# Note: the hyperparameters were fine tuned without the flight number feature. n_estimators "36" was chosen to be best without the flight number.
# However, including flight number, n_estimators "37" was chosen. If I had more time (45 minutes per computing round), I would try to fine tune n_estimators 
# for the model including flight numbers a bit more.
param_grid = [
    {"n_estimators": [35, 36, 37], "max_depth": [None, 5, 10, 20, 30], "min_samples_split": [2,3,4]}
]

# prepare grid_search with cross validation
grid_search = GridSearchCV(clf, param_grid, cv=3, scoring="accuracy", return_train_score=True)

# fit model with sample weights
grid_search.fit(X_data, y_data, sample_weight=sample_weights1)

# get the best estimator
final_clf = grid_search.best_estimator_
print(final_clf)

# get prediction
prediction = final_clf.predict(X_data)

# get accuracy
accuracy = final_clf.score(X_data, y_data)
print("Accuracy:", accuracy)

# print classification report
print("Classification Report:")
print(classification_report(y_data, prediction))

# print confusion matrix
print("Confusion Matrix:")
print(confusion_matrix(y_data, prediction))
RandomForestClassifier(n_estimators=35)
Accuracy: 0.9974310669635211
Classification Report:
              precision    recall  f1-score   support

           0       1.00      1.00      1.00      4675
           1       1.00      0.99      0.99      1164

    accuracy                           1.00      5839
   macro avg       1.00      0.99      1.00      5839
weighted avg       1.00      1.00      1.00      5839

Confusion Matrix:
[[4675    0]
 [  15 1149]]

Results - Random Forest¶

The random forest showed an accuravy of:

  • 97.1% for the training set without the flight number feature
  • 99.6% for the training set with the flight number feature

  • 99.2% fir the test set without the flight number feature

  • 99.8% for the test set with the flight number feature

Looking at the confusion matrix, the model tends more to Type 1 errors (False Negatives), i.e., it says a flight is not disrupted but it is actually disrupted.

Surprisingly, the performance on the test set is better than on the training set. However, this might be the case because the test set is smaller.

2. Logistic Regression¶

Logistic regression is probably also performing poorly because of inbalanced categories. Further, it shows errors when training the model with the dataset including flight number.

Accuracy is at about 80% on the training set - which is the value of not disrupted flights. The confusion matrix as well as the F1 score reveal the model learned not to classify any flight as "disrupted".

For the test set, accuracy is even worse (about 73%).

My implementation of the logistic regression is based on a YouTube Video by TEW22, "Logistic Regression Machine Learning Method Using Scikit Learn and Pandas Python - Tutorial 31" https://www.youtube.com/watch?v=1nWFHa6K23w (last accessed 23/02/24).

In [48]:
from sklearn.linear_model import LogisticRegression
from sklearn.model_selection import train_test_split
from sklearn.metrics import accuracy_score, classification_report, confusion_matrix

# split data into training and validation sets
X_train, X_valid, y_train, y_valid = train_test_split(X_data, y_data, test_size=0.2, random_state=42)

# create a logistic regression model
logistic_reg = LogisticRegression()

# fit model to the training data
logistic_reg.fit(X_train, y_train)

# get prediction on the validation set
prediction = logistic_reg.predict(X_valid)

# get accuracy on validation set
accuracy = accuracy_score(y_valid, prediction)
print("Accuracy:", accuracy)

# print classification report
print("Classification Report:")
print(classification_report(y_valid, prediction))

# print confusion matrix
print("Confusion Matrix:")
print(confusion_matrix(y_valid, prediction))
Accuracy: 0.7303082191780822
Classification Report:
              precision    recall  f1-score   support

           0       0.80      0.88      0.84       933
           1       0.21      0.12      0.15       235

    accuracy                           0.73      1168
   macro avg       0.50      0.50      0.50      1168
weighted avg       0.68      0.73      0.70      1168

Confusion Matrix:
[[825 108]
 [207  28]]
/Users/lk/anaconda3/lib/python3.11/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):
STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.

Increase the number of iterations (max_iter) or scale the data as shown in:
    https://scikit-learn.org/stable/modules/preprocessing.html
Please also refer to the documentation for alternative solver options:
    https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression
  n_iter_i = _check_optimize_result(

3. Stochastic Gradient Descent¶

High MSE shows the model performs poorly.

In [49]:
from sklearn.linear_model import SGDRegressor
from sklearn.metrics import mean_squared_error

sgd_regression_model = SGDRegressor(max_iter=1000, tol=0.001, penalty=None, eta0=0.1, random_state=42)

sgd_regression_model.fit(X_train, y_train.ravel());
sgd_regression_model.intercept_, sgd_regression_model.coef_

print(sgd_regression_model)

# get prediction on the validation set
prediction = sgd_regression_model.predict(X_valid)

# calculate Mean Squared Error
mse = mean_squared_error(y_valid, prediction)
print("Mean Squared Error:", mse)
SGDRegressor(eta0=0.1, penalty=None, random_state=42)
Mean Squared Error: 7.397445399153175e+25